1-2. An insurance company looks at its auto insurance customers and finds that (a) all insure at least one...

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1.1-2. An insurance company looks at its auto insurance customers and finds that (a) all insure at least one car, (b) 85% insure more than one car, (c) 23% insure a sports car, and (d) 17% insure more than one car, including a sports car. Find the probability that a customer selected at random insures exactly one car and it is not a sports car.

SnapAndSolve AI · Accepted Answer

To find the probability that a customer insures exactly one car and it is not a sports car, we can use the given information:

All customers insure at least one car.
85% insure more than one car, so 15% insure exactly one car.
23% insure a sports car.
17% insure more than one car, including a sports car.

We need to find the probability of insuring exactly one car and not a sports car. We know:

Probability of insuring exactly one car = 15%.
Probability of insuring a sports car = 23%.
Probability of insuring more than one car and a sports car = 17%.

Since 17% of customers insure more than one car and a sports car, the probability of insuring exactly one car and a sports car is 23% - 17% = 6%.

Therefore, the probability of insuring exactly one car and it not being a sports car is 15% - 6% = 9%.

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